Afridi Muhammad Idrees, Qasim Muhammad, Hussanan Abid
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad 44000, Pakistan.
Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam.
Entropy (Basel). 2018 Aug 18;20(8):615. doi: 10.3390/e20080615.
In this article, we investigated entropy generation and heat transfer analysis in a viscous flow induced by a horizontally moving Riga plate in the presence of strong suction. The viscosity and thermal conductivity of the fluid are taken to be temperature dependent. The frictional heating function and non-linear radiation terms are also incorporated in the entropy generation and energy equation. The partial differential equations which model the flow are converted into dimensionless form by using proper transformations. Further, the dimensionless equations are reduced by imposing the conditions of strong suction. Numerical solutions are obtained using MATLAB boundary value solver bvp4c and used to evaluate the entropy generation number. The influences of physical flow parameters arise in the mathematical modeling are demonstrated through various graphs. The analysis reveals that velocity decays whereas entropy generation increases with rising values of variable viscosity parameter. Furthermore, entropy generation decays with increasing variable thermal conductivity parameter.
在本文中,我们研究了在强抽吸作用下水平移动的里加板所引起的粘性流动中的熵产生和传热分析。流体的粘度和热导率被视为与温度相关。摩擦加热函数和非线性辐射项也被纳入熵产生和能量方程中。通过适当的变换,将描述流动的偏微分方程转化为无量纲形式。此外,通过施加强抽吸条件简化无量纲方程。使用MATLAB边界值求解器bvp4c获得数值解,并用于评估熵产生数。通过各种图表展示了数学建模中出现的物理流动参数的影响。分析表明,随着可变粘度参数值的增加,速度衰减而熵产生增加。此外,熵产生随着可变热导率参数的增加而衰减。